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WKB approximation

For
$$
y''+P(x)y'+Q(x)y=0,
$$
the substitution
$$
y=e^{-\frac12\int P(x)\,dx}v
$$
gives the normal form
$$
v''+\left(Q-\frac12P'-\frac14P^2\right)v=0.
$$


Removal of the first derivative from a second-order differential equation

Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 4 / 31E / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 4 / 31D / c / Solution

Removal of the first derivative from a second-order differential equation

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Removal of the first derivative from a second-order differential equation

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